EIGENVALUE BOUNDS FOR THE SIGNLESS LAPLACIAN

By Dragos M. Cvetkovic, Peter Rowlinson, Slobodan K. Simic. 2007

212 citations recorded by the source corpus.

Subfields: Geometry and Topology, Materials Chemistry, Organic Chemistry

View Paper: https://www.semanticscholar.org/paper/ff96c52a3ee3a580a06d94b1a43904cd502be56d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Vladimir Nikiforov
2. Slobodan K. Simic
3. Dragos M. Cvetkovic
4. Lihua Feng
5. Peter Rowlinson
6. Guihai Yu
7. N. Abreu
8. Domingos Moreira Cardoso

In Materials Chemistry

1. Dragos M. Cvetkovic
2. Slobodan K. Simic
3. N. Abreu

In Organic Chemistry

1. Vladimir Nikiforov
2. Slobodan K. Simic
3. Dragos M. Cvetkovic
4. Lihua Feng
5. Guihai Yu
6. N. Abreu
7. Peter Rowlinson
8. Carla Silva Oliveira

Citations in the corpus

• The smallest eigenvalue of the signless Laplacian (2011, background): “Simple as this observation might be, it immediately suggests a solution to Conjecture 26 raised by Cvetković, Rowlinson and Simić in [8].”
• Towards a spectral theory of graphs based on the signless Laplacian, I (2009, background): “As our bibliography shows, several papers on the signless Laplacian spectrum (in particular, [2], [5], [10], [12], [14], [15], [16], [24], [26], [28], [29], [30], [31], [32], [35], where the signless Laplacian is explicitly used) have been published since 2005.”
• A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph (2008, background): “It was noted in [4] that 1 12n2 qn(Ee,n−e) qn−1(Pn) = 2 ( 1 − cos π”
• Towards a spectral theory of graphs based on the signless Laplacian, III (2010, background): “To this group belong the graphs mentioned in Conjecture 20 of [10] (stars, cocktail–party graphs, complete bipartite graphs with equal parts).”
• ON THREE CONJECTURES INVOLVING THE SIGNLESS LAPLACIAN SPECTRAL RADIUS OF GRAPHS (2009, background): “More information about the signless Laplacian can be found in [2], [3], [5], [6].”